What is the quotient of 842.4 ÷ −0.6 ?
The quotient of 842.4 ÷ -0.6 is approximately -1404.
Use long division to convert 6715 to a decimal
To convert 6715 to a decimal using long division, divide 6715 by 1. Here is the step-by-step process:
```
0
┌─────────
1 | 6715
-1
────────
5
-5
────────
15
-15
────────
5
-5
────────
0
```
Since the remainder is 0, the decimal representation of 6715 is simply 6715.
A pilot is flying an airplane. Due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. It takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the plane’s altitude. Give your answer to the nearest hundredth, and remember the plane is descending.
To interpret the quotient in this scenario, we divide the change in altitude (-4000 feet) by the time it takes to make this adjustment (3.5 minutes).
The quotient is calculated as follows:
-4000 feet ÷ 3.5 minutes = -1142.85714286 feet/minute (rounded to the nearest hundredth)
Therefore, the rate of change in the plane's altitude is approximately -1142.86 feet per minute, indicating that the plane is descending at a rate of 1142.86 feet per minute.
Solve the following word problem. A fish is swimming at −10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters. How long will it take for the fish to reach a depth of −37.8 meters? Show your work and write a sentence to explain what your answer means
To solve this problem, we can set up an equation to represent the relationship between the depth of the fish and the time it takes to reach that depth.
Let x be the number of 2-minute intervals it takes for the fish to reach a depth of -37.8 meters.
The equation representing this relationship is: -10.8 - 1.5x = -37.8
To solve for x, we need to isolate it on one side of the equation.
First, we subtract -10.8 from both sides:
-10.8 - 1.5x - (-10.8) = -37.8 - (-10.8)
-1.5x = -37.8 - (-10.8)
-1.5x = -37.8 + 10.8
Next, we simplify the equation:
-1.5x = -27
Finally, we can solve for x by dividing both sides by -1.5:
x = -27 / -1.5
x = 18
Therefore, it will take the fish 18 intervals of 2 minutes each to reach a depth of -37.8 meters.
In terms of time, this means it will take the fish 36 minutes (-2 minutes per interval × 18 intervals) to reach a depth of -37.8 meters.